Fuzzy Mathematical Programming

Abstract

Mathematical programming problems (MP) can be considered as decision making problems in which preferences between alternatives are described by means of objective functions on a given set of alternatives in such a way that more preferable alternatives have higher values. The values of the objective function describe effects from choices of the alternatives. In economic problems, for example, these values may reflect profits obtained when using various means of production. The set of feasible alternatives in MP problems is described implicitly by means of constraints — equations or inequalities, or both — representing relevant relationships between alternatives. In any case the results of the analysis using given formulation of the MP problem depend largely upon how adequately various factors of the real system are reflected in the description of the objective function(s) and of the constraints.